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• W2912560929 abstract "The basic reproduction number $R_0$ serves as a threshold parameter of many epidemic models for disease extinction or spread. The purpose of this paper is to investigate $R_0$ for spatial reaction-diffusion partial differential equation epidemic models. We define $R_0$ as the spectral radius of a product of a local basic reproduction number $R$ and strongly positive compact linear operators with spectral radii one. This definition of $R$, viewed as a multiplication operator, is motivated by the definition of basic reproduction numbers for ordinary differential equation epidemic models. We investigate the relation of $R_0$ and $R$." @default.
• W2912560929 created "2019-02-21" @default.
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• W2912560929 date "2019-01-01" @default.
• W2912560929 modified "2023-09-28" @default.
• W2912560929 title "On the Basic Reproduction Number of Reaction-Diffusion Epidemic Models" @default.
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• W2912560929 doi "https://doi.org/10.1137/18m1182243" @default.
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